The Calculus with Analytic Geometry, Volume 1Harper & Row, 1981 - Calculus |
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Page 174
... velocity of the particle is obviously not constant ; and the average velocity supplies no specific information about the motion of the particle at any particular instant . For example , if a car travels a distance of 100 kilometers ( km ) ...
... velocity of the particle is obviously not constant ; and the average velocity supplies no specific information about the motion of the particle at any particular instant . For example , if a car travels a distance of 100 kilometers ( km ) ...
Page 206
... velocity is 0 and is increasing . The speed is increasing . Particle is at the right of the origin , and it is moving to the right . The velocity is increasing . The speed is increasing . 0 Particle is 2 cm to the right of the origin ...
... velocity is 0 and is increasing . The speed is increasing . Particle is at the right of the origin , and it is moving to the right . The velocity is increasing . The speed is increasing . 0 Particle is 2 cm to the right of the origin ...
Page 329
... velocity of -64 ft / sec . ( a ) When does the ball strike the ground , and ( b ) with what speed will it strike the ground ? 19. A ball is thrown vertically upward with an initial velocity of 40 ft / sec from a point 20 ft above the ...
... velocity of -64 ft / sec . ( a ) When does the ball strike the ground , and ( b ) with what speed will it strike the ground ? 19. A ball is thrown vertically upward with an initial velocity of 40 ft / sec from a point 20 ft above the ...
Common terms and phrases
absolute maximum value absolute minimum absolutely convergent antiderivative chain rule closed interval convergent coordinates cos² cosh cost function curve defined by f(x definite integral derivative differentiable directrix distance Draw a sketch elements of area ellipse evaluate Example exists f is continuous FIGURE Find an equation Find the area Find the volume focus following theorem formula function defined function f Given f(x graph of ƒ Hence hyperbola ILLUSTRATION intersection inverse L'Hôpital's rule lim f(x Limit Theorem measure natural logarithmic obtain open interval parabola particle perpendicular polar positive number power series Proof Prove radius real numbers rectangle rectangular elements region bounded relative maximum value revolving Riemann sum sec² sequence shown in Fig Simpson's rule sin² sinh slope solid of revolution Solution square units tangent line tank velocity vertex vertices x₁ y₁